Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Answer:
tanV= adjacent
/opposite =

Step-by-step explanation:
You just put it in a fraction 1/10
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
Answer: -74
Step-by-step explanation:
First you have to solve - 2y - 9 = 7 to find what "y" equals so we can plug that into 9y - 2
1. Solve -2y - 9 =7:
-2y = 16
y = -8
2. Plug -8 into the expression 9y - 2:
9(-8) - 2
-72 -2
-74!
Im sorry if i didnt do this correctly :/